On the ternary extended perfect Golay code by the modified GC-construction

Димитрий Викторович Зиновьев; Виктор Александрович Зиновьев

doi:10.55630/mem.2026.55.442-447

Автори

Димитрий Викторович Зиновьев
Виктор Александрович Зиновьев A.A. Kharkevich Institute for Information Transmission Problems Russian Academy of Sciences, Moscow, Russia https://orcid.org/0000-0002-7639-6115

DOI :

https://doi.org/10.55630/mem.2026.55.442-447

Ключови думи :

троичен разширен съвършен код на Голей, модифицирана обобщена конкатенационна конструкция

Абстракт

Показано е, че троичният разширен съвършен код на Голей [12, 6, 6]_3 може да бъде конструиран чрез модифицираната GC-конструкция, като за бинарния код на Голей [24, 12, 8] това беше доказано от нас по-рано. В частност, кодът на Голей [12, 6, 6]_3 може да бъде конструиран с GC-конструкция с вътрешни кодове с дължина 3 и външни кодове с дължина 4.

Авторска биография

Автор: Виктор Александрович Зиновьев, A.A. Kharkevich Institute for Information Transmission Problems Russian Academy of Sciences, Moscow, Russia

A.A. Kharkevich Institute for Information Transmission Problems
Russian Academy of Sciences
Bol’shoi Karetnyi 19, Moscow, Russia
Russia and Higher School of Modern
Mathematics of the Moscow College of Physics and Technology in Dolgoprudny,
1 Klimentovskiy per., Moscow, Russia

Литература (библиография)

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